Bill Martin Worcester Polytechnic Institute USA. Cometric Association Schemes. Geometric and Algebraic Combinatorics 4, Oisterwijk, Thursday 21 August 2008. Several Collaborators. Jason Williford Misha Muzychuk Edwin van Dam Nick LeCompte (WPI student) Will Owens (WPI student)
Q-polynomial schemes, especially with
3 or 4 classes
E8 Root Lattice
Inner product of two zonal polynomials only depends on distance between the two base points and the single-variable polynomials.
Concerning cometric association schemes . . .
w=3 fibres of size r=2
w=2 fibres of size r=3
A familiar dual pair of association schemes
Another dual pair of complete multipartite schemes
H. Suzuki (1998):
Edwin van Dam (1995)
This is a 4-class Q-antipodal association scheme
square (16,6,2)-design between any two
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Heather Lewis and …?